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Finding the Fourth Proportional to 10,515.40, 14,512.28 and 7,858.19

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Solution

The fourth proportional to 10,515.40, 14,512.28 and 7,858.19 is: 10,845.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.40 : 14,512.28 = 7,858.19 : x
  2. Step 2: Convert to fraction form
    10,515.40/14,512.28 = 7,858.19/x
  3. Step 3: Cross multiply
    10,515.40x = 14,512.28 × 7,858.19
  4. Step 4: Simplify right side
    10,515.40x = 114,040,250.56
  5. Step 5: Solve for x
    x = 114,040,250.56/10,515.40
  6. Step 6: Final answer
    x = 10,845.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.